Worksheet: Order of Rotational Symmetry

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In this worksheet, we will practice finding the order of rotational symmetry of a geometric figure and its angle of rotation.

Q1:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ano
  • Byes, 90∘
  • Cyes, 180∘
  • Dyes, 60∘
  • Eyes, 120∘

Q2:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 60∘
  • Byes, 180∘
  • Cyes, 120∘
  • Dno
  • Eyes, 90∘

Q3:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ano
  • Byes, 60∘
  • Cyes, 90∘
  • Dyes, 120∘
  • Eyes, 180∘

Q4:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ano
  • Byes, 90∘
  • Cyes, 180∘
  • Dyes, 120∘
  • Eyes, 60∘

Q5:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 90∘
  • Byes, 120∘
  • Cyes, 60∘
  • Dno
  • Eyes, 180∘

Q6:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 120∘
  • Byes, 60∘
  • Cyes, 90∘
  • Dno
  • Eyes, 180∘

Q7:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ano
  • Byes, 60∘
  • Cyes, 180∘
  • Dyes, 120∘
  • Eyes, 90∘

Q8:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ano
  • Byes, 180∘
  • Cyes, 90∘
  • Dyes, 120∘
  • Eyes, 60∘

Q9:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 60∘
  • Byes, 90∘
  • Cyes, 180∘
  • Dyes, 120∘
  • Eno

Q10:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 120∘
  • Bno
  • Cyes, 60∘
  • Dyes, 180∘
  • Eyes, 90∘

Q11:

What is the order of rotational symmetry of a square?

Q12:

What is the order of rotational symmetry of a parallelogram?

Q13:

Determine whether the following statement is true or false: If a figure has one horizontal and one vertical line of symmetry, then it also has rotational symmetry.

  • Atrue
  • Bfalse

Q14:

If you subtract the number of lines of symmetry of a regular hexagon from its order of rotational symmetry, what do you get?

Q15:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 30∘
  • Byes, 90∘
  • Cyes, 180∘
  • Dno
  • Eyes, 45∘

Q16:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 90∘
  • Byes, 180∘
  • Cno
  • Dyes, 30∘
  • Eyes, 45∘

Q17:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 180∘
  • Byes, 45∘
  • Cyes, 90∘
  • Dyes, 30∘
  • Eno

Q18:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 180∘
  • Bno
  • Cyes, 90∘
  • Dyes, 30∘
  • Eyes, 45∘

Q19:

What is the order of rotational symmetry of a regular dodecagon?

Q20:

What is the order of rotational symmetry of a regular trapezoid?

Q21:

Does this picture have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 180∘
  • Byes, 60∘
  • Cyes, 120∘
  • Dno
  • Eyes, 90∘

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